Description |
1 online resource (vii, 278 pages) : illustrations |
Series |
Cambridge tracts in mathematics ; 201 |
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Cambridge tracts in mathematics ; 201.
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Contents |
Introduction -- Background: Bicategorical background ; Coherence for bicategories ; Gray-categories -- Tricategories: The algebraic definition of tricategory ; Examples ; Free constructions ; Basic structure ; Gray-categories and tricategories ; Coherence via Yoneda ; Coherence via free constructions -- Gray-monads: Codescent in Gray-categories ; Codescent as a weighted colimit ; Gray-monads and their algebras ; The reflection of lax algebras into strict algebras ; A general coherence result |
Summary |
"Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results. Along the way the author treats such material as the Gray tensor product and gives a construction of the fundamental 3-groupoid of a space. The book serves as a comprehensive introduction, covering essential material for any student of coherence and assuming only a basic understanding of higher category theory. It is also a reference point for many key concepts in the field and therefore a vital resource for researchers wishing to apply higher categories or coherence results in fields such as algebraic topology or theoretical computer science"-- Provided by publisher |
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"In the study of higher categories, dimension three occupies an interesting position on the landscape of higher dimensional category theory. From the perspective of a "hands-on" approach to defining weak n-categories, tricategories represent the most complicated kind of higher category that the community at large seems comfortable working with."-- Provided by publisher |
Bibliography |
Includes bibliographical references and index |
Notes |
English |
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Print version record |
Subject |
Tricategories.
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MATHEMATICS -- Logic.
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MATHEMATICS -- Algebra -- Linear.
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CategorÃas (Matemáticas)
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Tricategories
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Form |
Electronic book
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ISBN |
9781107336896 |
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1107336899 |
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9781139542333 |
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1139542338 |
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9781107327139 |
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110732713X |
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9781107333574 |
|
1107333571 |
|
1107238420 |
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9781107238428 |
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1299399959 |
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9781299399952 |
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1107336066 |
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9781107336063 |
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